GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
4th root of 496 is between
[#permalink]
01 Feb 2021, 05:59
01 Feb 2021, 05:59
Expert Reply
00:00
Question Stats:
100% (00:39) correct
0% (00:00) wrong based on 11 sessions
Hide Show timer Statistics
4th root of 496 is between
(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8
Kudos for the right answer and explanation
(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
4th root of 496 is between
[#permalink]
01 Feb 2021, 06:53
01 Feb 2021, 06:53
Carcass wrote:
4th root of 496 is between
(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8
Kudos for the right answer and explanation
(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8
Kudos for the right answer and explanation
APPROACH #1: Use your on-screen calculator
Even though there isn't a 4TH ROOT button on the GRE's onscreen calculator, you can use the square root button twice to find the fourth root.
This approach is based on the fact that \((x^{\frac{1}{2}})^{\frac{1}{2}}=x^{\frac{1}{4}}=\) the 4th root of x
So, enter 496, and then press the square root button twice to get 4.72
Answer: B
APPROACH #2: Number sense
\(4^4 = 256\), so the 4th root of 256 equals 4
\(5^4 = 625\), so the 4th root of 625 equals 5
Since 496 lies BETWEEN 256 and 625, the fourth root of 496 must be between 4 and 5
Answer: B
gmatclubot
4th root of 496 is between [#permalink]
01 Feb 2021, 06:53
Moderators:
